Chaos assisted tunnelling with cold atoms
arXiv:nlin/0012013 · doi:10.1103/PhysRevE.64.016221
Abstract
In the context of quantum chaos, both theory and numerical analysis predict large fluctuations of the tunnelling transition probabilities when irregular dynamics is present at the classical level. We consider here the non-dissipative quantum evolution of cold atoms trapped in a time-dependent modulated periodic potential generated by two laser beams. We give some precise guidelines for the observation of chaos assisted tunnelling between invariant phase space structures paired by time-reversal symmetry.
submitted to Phys. Rev. E ; 16 pages, 13 figures; figures of better quality can be found at http://www.phys.univ-tours.fr/~mouchet/
Cited by in corpus (27)
- Resonance-Assisted Tunneling
- Resonance- and chaos-assisted tunneling in mixed regular-chaotic systems
- Drive Induced Delocalization in Aubry-André Model
- Dynamical tunneling in molecules: Quantum routes to energy flow
- Many-Body Physics and Quantum Chaos
- Chaos-assisted tunneling resonances in a synthetic Floquet superlattice
- Signatures of chaotic tunnelling
- Influence of classical resonances on chaotic tunnelling
- Semiclassical Study on Tunneling Processes via Complex-Domain Chaos
- Macroscopic Quantum Tunneling Escape of Bose-Einstein Condensates
- Analysis of dynamical tunnelling experiments with a Bose-Einstein condensate
- Floquet Analysis of Atom Optics Tunneling Experiments
- Complex trajectories in chaotic dynamical tunneling
- Complex paths for regular-to-chaotic tunneling rates
- Chaos-Assisted Long-Range Tunneling for Quantum Simulation
- Dynamical tunnelling with ultracold atoms in magnetic microtraps
- Signatures of unstable semiclassical trajectories in tunneling
- Routes towards the experimental observation of the large fluctuations due to chaos assisted tunneling effects with cold atoms
- Effects of a nonlinear perturbation on dynamical tunneling in cold atoms
- Chaos-assisted tunneling in the presence of Anderson localization
- Recovery of chaotic tunneling due to destruction of dynamical localization by external noise
- Dynamical tunnelling of a Nano-mechanical Oscillator
- Non-equilibrium dynamics of fluctuations in an ultra-cold atomic mixture
- Long quantum transition times due to unstable semiclassical dynamics
- Resonance- and Chaos-Assisted Tunneling
- Asymmetric double well system as effective model for the kicked one
- Chaos assisted many-body tunnelling